Question

If \( y = x^x + x^x \), then find \( \frac{dy}{dx} \):

• A. \( x^x(\ln x + 1) \)
• B. \( 2x^x(\ln x + 1) \)
• C. \( x^x(\ln x - 1) \)
• D. \( 2x^x \ln x \)

Hint:

To differentiate \( x^x \), use logarithmic differentiation. Always remember:
If \( y = x^x \), then \( \frac{dy}{dx} = x^x(\ln x + 1) \).